Year: 2017
Type: article
Abstract: The SYK model, a quantum mechanical model of N ≫ 1 Majorana fermions χ i , with a q-body, random interaction, is a novel realization of holography. It is known that the AdS2 dual contains a tower of massive particles, yet there is at present no proposal for the bulk theory. As SYK is solvable in the 1/N expansion, one can systematically derive the bulk. We initiate such a program, by analyzing the fermion two, four and six-point functions, from which we extract the tower of singlet, large N dominant, operators, their dimensions, and their three-point correlation functions. These determine the masses of the bulk fields and their cubic couplings. We present these couplings, analyze their structure and discuss the simplifications that arise for large q.
Source: Journal of High Energy Physics
Authors: David J. Gross, Vladimir Rosenhaus
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: National Science Foundation
OpenAlex ID: W2593425498